An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
Max-Planck-Institute, Inselstr. 22-26,
04103 Leipzig, Germany. (firstname.lastname@example.org)
In this note we give sharp lower bounds for a non-convex functional when minimised over the space of functions that are piecewise affine on a triangular grid and satisfy an affine boundary condition in the second lamination convex hull of the wells of the functional.
Mathematics Subject Classification: 74B20 / 74S05
Key words: Finite-well non-convex functionals / finite element approximations.
© EDP Sciences, SMAI, 2001